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Ne4ueva [31]
3 years ago
13

4 days ago, Emily blew up a balloon (that is a perfect sphere) to a radius of 5cm. Since then, the balloon has lost air and decr

eased by 0.5cm each day.
Mathematics
1 answer:
Elan Coil [88]3 years ago
3 0

Answer:

27/125

Step-by-step explanation:

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The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016
hodyreva [135]

Answer:

Required Probability = 0.97062

Step-by-step explanation:

We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.

Let X = weight of the newborn baby, so X ~ N(\mu=4016 , \sigma^{2} = 532^{2})

The standard normal z distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( \frac{X-\mu}{\sigma} < \frac{5026-4016}{532} ) = P(Z < 1.89) = 0.97062

Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .

5 0
3 years ago
14. The equation of the line that passes through the
KIM [24]

Answer:

5.   y = -x

Step-by-step explanation:

First, you need to find the slope of the line.

m = \frac{2 - (-3)}{-2 - 3}  = \frac{5}{-5}  = -1

Now, using either point substitute into the point-slope form for a line:

y - y_{1}  =  m(x - x_{1} )

Using (-2,2) for (x_{1} , y_{1} ) we get y - 2 = -1(x +2)

y - 2 = -x - 2

y = -x

Answer 5 is the correct answer

3 0
3 years ago
What integer describes 75 feet above sea level?
ludmilkaskok [199]

Answer:

75

Step-by-step explanation:

Sea level is considered 0. To find 75 feet above sea level, we add 75 to 0. This gets us 75. Since 75 is an integer, it checks out.

6 0
3 years ago
Deborah needs fabric for her costume. she buys 3.25 yards of material at $5.87 a yard What is the total cost of the fabric? Roun
iren2701 [21]

Answer:

19.08

Step-by-step explanation:

just multiply and round to get 2 decimals

6 0
2 years ago
One number is five more than three times another. If their difference is 35, what is the larger number?
miv72 [106K]
Let x and y be the two unknown numbers. If one number, say x,is 5 more than 3 times another, say y, the equation would be

x = 5 + 3y

When their difference is 35, x-y = 35, since x is the much larger number here. We substitute x to solve for the smaller number, y.

x - y = 35
(5 + 3y) -y = 35
5 +2y = 35
2y = 35-5
2y = 30
y = 15

The larger number x would be
x = 5 + 3(15)
x = 50

The answer is 50.


8 0
3 years ago
Read 2 more answers
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